The general equation of the line:
y = mx + c
where m is the slope of the line , and c is constant
m will be calculated using the points (2,1162) , (11,1900) as follow
m = (1900-1162)/(11-2) = 82
∴ y = 82 x + c
By substituting with the point (2,1162) to find c
∴ c = y - 82x = 1162 - 82 * 2 = 998
∴ y = 82x + 998
The first choice is the correct answer
Answer:
Salma, joe, and alan sent 14, 69, and 23 text messages respectively
Step-by-step explanation:
Given that Salma, joe, and alan sent a total of 106 text messages during the weekend, it means that
s + j + a = 106 where s, j, and a are the number of messages sent by Salma, joe, and alan respectively
Given salma sent 9 fewer messages than alan
s = a - 9
Joe sent 3 times as many messages as alan
j = 3a
hence
a - 9 + 3a + a = 106
5a - 9 = 106
5a = 106 + 9
5a = 115
Divide both sides by 5
a = 115/5
= 23
s = 23 - 9
= 14
j = 3* 23
= 69
We have by distributivity of limits over sums, and continuity of and , that
Given , it follows that
You are factoring one or more linear expressions (but are not factoring variables).
2.4n+9.6 can be divided by 2.4 and then the result mult. by 2.4:
2.4n+9.6 = 2.4 [ n + 4 ]
Also: -6z+12= 6 [ -z + 2 ] Here I have simplified linear functions but factoring out common constant coefficients (not variables).
Answer:
The domain is the set of all possible x-values
The range is the resulting y-values
- The range is the outside temperature is here
- Function is decreasing between x= 0 to 3
- It means the temperature is decreasing between midnight and 3 AM